5105610560 has 56 divisors (see below), whose sum is σ = 12188662440. Its totient is φ = 2037049344.

The previous prime is 5105610551. The next prime is 5105610563. The reversal of 5105610560 is 650165015.

It can be written as a sum of positive squares in 4 ways, for example, as 29333056 + 5076277504 = 5416^2 + 71248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105610563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106946 + ... + 147134.

Almost surely, 2^5105610560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094331220).

5105610560 is an abundant number, since it is smaller than the sum of its proper divisors (7083051880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5105610560 is a wasteful number, since it uses less digits than its factorization.

5105610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40603 (or 40593 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 5105610560 is about 71453.5552649412. Note that the first 3 decimals coincide. The cubic root of 5105610560 is about 1721.9315959650.

Adding to 5105610560 its reverse (650165015), we get a palindrome (5755775575).

It can be divided in two parts, 51056 and 10560, that added together give a palindrome (61616).

The spelling of 5105610560 in words is "five billion, one hundred five million, six hundred ten thousand, five hundred sixty".